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Erd\H{o}s-Kac theorems for discriminants of number fields

math.NT · 2026-06-05 · unverdicted · novelty 7.0

Proves Erdős-Kac type central limit theorems for the number of ramified primes in random G-extensions of number fields when G is abelian, including first examples of dependent local ramification events.

Modeling Falling Backgrounds with Exponential Mixtures

hep-ex · 2026-07-01 · unverdicted · novelty 3.0

Finite exponential mixtures model falling backgrounds in particle physics searches with performance comparable to existing methods on datasets of 28 million and 5 thousand events, plus small bias and nominal coverage in simulations of size 5 thousand.

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